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66737818080 = 25345113199229
BaseRepresentation
bin111110001001111000…
…100100100111100000
320101021001222102120000
4332021320210213200
52043134340134310
650354155020000
74551553044123
oct761170444740
9211231872500
1066737818080
112633783855a
1210b2643a600
1363a76469ab
1433316823ba
151b0902d4c0
hexf89e249e0

66737818080 has 480 divisors, whose sum is σ = 239850072000. Its totient is φ = 17473978368.

The previous prime is 66737818073. The next prime is 66737818129. The reversal of 66737818080 is 8081873766.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291431406 + ... + 291431634.

It is an arithmetic number, because the mean of its divisors is an integer number (499687650).

Almost surely, 266737818080 is an apocalyptic number.

66737818080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66737818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119925036000).

66737818080 is an abundant number, since it is smaller than the sum of its proper divisors (173112253920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66737818080 is a wasteful number, since it uses less digits than its factorization.

66737818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 66737818080 in words is "sixty-six billion, seven hundred thirty-seven million, eight hundred eighteen thousand, eighty".